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From Continuous to Discrete Models of Linear Repetitive Processes

From Continuous to Discrete Models of Linear Repetitive Processes
From Continuous to Discrete Models of Linear Repetitive Processes
.Differential linear repetitive processes are a distinct class of 2D linear systems which pose problems which cannot (except in a few very restrictive special cases) be solved by application of existing linear systems theory, and hence by the use of many of the currently available tools for computer aided analysis and simulation. One such problem area is the construction of accurate numerically well conditioned discrete approximations of the dynamics of differential processes which could, as one example of a number of immediate applications areas, form the basis for the digital implementation of control laws. In this paper, we undertake a detailed investigation of the critical problems which arise when attempting to construct "useful" (for onward asnalysis/design studies) discrete approximations to the dynamics of differential linear repetitive processes and develop solutions to them. Numerical examples to support the results obtained are also given using a specially developed MTLAB based toolbox.
151-185
Gramacki, A
81a4c5dc-38e3-4c12-9d6c-33f279bce979
Gramacki, J.
36aed597-84bf-49f4-9e09-6f2b132171b3
Galkowski, K.
40c02cf5-8fcb-44de-bb1e-f9f70fdd265d
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6
Gramacki, A
81a4c5dc-38e3-4c12-9d6c-33f279bce979
Gramacki, J.
36aed597-84bf-49f4-9e09-6f2b132171b3
Galkowski, K.
40c02cf5-8fcb-44de-bb1e-f9f70fdd265d
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6

Gramacki, A, Gramacki, J., Galkowski, K., Rogers, E. and Owens, D H (2002) From Continuous to Discrete Models of Linear Repetitive Processes. Archives of Control Sciences, 12 (1-2), 151-185.

Record type: Article

Abstract

.Differential linear repetitive processes are a distinct class of 2D linear systems which pose problems which cannot (except in a few very restrictive special cases) be solved by application of existing linear systems theory, and hence by the use of many of the currently available tools for computer aided analysis and simulation. One such problem area is the construction of accurate numerically well conditioned discrete approximations of the dynamics of differential processes which could, as one example of a number of immediate applications areas, form the basis for the digital implementation of control laws. In this paper, we undertake a detailed investigation of the critical problems which arise when attempting to construct "useful" (for onward asnalysis/design studies) discrete approximations to the dynamics of differential linear repetitive processes and develop solutions to them. Numerical examples to support the results obtained are also given using a specially developed MTLAB based toolbox.

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More information

Published date: 2002
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 256382
URI: http://eprints.soton.ac.uk/id/eprint/256382
PURE UUID: 796597e9-28c7-4bdd-9c6f-48c706c5d63a
ORCID for E. Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 01 Mar 2004
Last modified: 23 Sep 2020 01:31

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